Explicit isogenies of elliptic curves

Let E be an elliptic curve defined over a field K. The main topic of this thesis is to present a method for the explicit computation of all separable K- rational l-isogenies of E and isogenous curves for small primes l. The key tool for this explicit computation is that the modular curve X0(l) param...

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Bibliographic Details
Main Author: Tsukazaki, Kiminori
Published: University of Warwick 2013
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.582409